Kamil DEMİRCİ, Sevda KARAKUŞ

6893

Equi-Statistical Extension of the Korovkin Type Approximation Theorem

In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.

Anahtar Kelimeler:

Equi-statistical convergence, positive linear operator, Korovkin type theorem

Equi-Statistical Extension of the Korovkin Type Approximation Theorem

In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.

Keywords:

Equi-statistical convergence, positive linear operator, Korovkin type theorem,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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